Archie had
38 the number of beads that Ethan had at first. After Ethan gave Archie 18 of his beads, Archie had
35 the number of beads that Ethan had. How many beads did Ethan have in the end?
|
Archie |
Ethan |
Total |
Before |
3x8 = 24 u |
8x8 = 64 u |
11x8 = 88 u |
Change |
+ 9 u |
- 9 u |
|
After |
3x11 = 33 u |
5x11 = 55 u |
8x11 = 88 u |
The total number of beads that Archie and Ethan had at first and in the end remains unchanged. Make the total number of beads the same. LCM of 11 and 8 is 88.
Number of beads that Ethan gave Archie
= 33 u - 24 u
= 9 u
9 u = 18
1 u = 18 ÷ 9 = 2
Number of beads that Ethan had in the end
= 55 u
= 55 x 2
= 110
Answer(s): 110